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Finding the Third Proportional to 41,798 and 89,347

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Solution

The third proportional to 41,798 and 89,347 is: 190,987.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,798 : 89,347 = 89,347 : x
  2. Step 2: Convert to fraction form
    41,798/89,347 = 89,347/x
  3. Step 3: Cross multiply
    41,798x = 89,347 × 89,347
  4. Step 4: Simplify right side
    41,798x = 7,982,886,409
  5. Step 5: Solve for x
    x = 7,982,886,409/41,798
  6. Step 6: Final answer
    x = 190,987.28

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.